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On the unconditional almost-everywhere convergence of general orthogonal series

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Publication:1760005
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DOI10.1007/S11253-012-0599-ZzbMath1263.40001OpenAlexW1987702919MaRDI QIDQ1760005

Vladimir A. Mikhailets, Aleksandr A. Murach

Publication date: 23 November 2012

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-012-0599-z


zbMATH Keywords

orthogonal seriesOrlicz theoremTandori theoremunconditional almost-everywhere convergence


Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Convergence and divergence of series and sequences of functions (40A30)


Related Items (1)

Extended Sobolev scale and elliptic operators




Cites Work

  • A complete characterization of coefficients of a.e. convergent orthogonal series and majorizing measures
  • Interpolation with a function parameter and refined scale of spaces
  • Moment inequalities and the strong laws of large numbers
  • An improved Menshov-Rademacher theorem
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